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Finding the Fourth Proportional to 22,462.84, 33,689.94 and 7,670.22

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Solution

The fourth proportional to 22,462.84, 33,689.94 and 7,670.22 is: 11,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.84 : 33,689.94 = 7,670.22 : x
  2. Step 2: Convert to fraction form
    22,462.84/33,689.94 = 7,670.22/x
  3. Step 3: Cross multiply
    22,462.84x = 33,689.94 × 7,670.22
  4. Step 4: Simplify right side
    22,462.84x = 258,409,251.59
  5. Step 5: Solve for x
    x = 258,409,251.59/22,462.84
  6. Step 6: Final answer
    x = 11,503.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.